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Finding the Fourth Proportional to 127,858.17, 191,654.19 and 71,615.82

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Solution

The fourth proportional to 127,858.17, 191,654.19 and 71,615.82 is: 107,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,858.17 : 191,654.19 = 71,615.82 : x
  2. Step 2: Convert to fraction form
    127,858.17/191,654.19 = 71,615.82/x
  3. Step 3: Cross multiply
    127,858.17x = 191,654.19 × 71,615.82
  4. Step 4: Simplify right side
    127,858.17x = 13,725,471,973.29
  5. Step 5: Solve for x
    x = 13,725,471,973.29/127,858.17
  6. Step 6: Final answer
    x = 107,349.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.